Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces accurately […]
Give a proof linked to this picture of the formula $a^2 – b^2 = (a + b)(a – b)$ .
2. What do you notice about the difference between squares of consecutive numbers?
Compare the differences between squares of numbers that differ by 1 […]
How does the diagram below connect with the multiplication?
Use the two grids to do the two multiplications:
72 × 25 […]
The histogram shows the number of children in each age group on a school bus. There are no children under 5 years and no children over 17 years. There are 6 children aged between 5 and 10 years . Explain why the class boundaries are 5, 11, 16 and 18. Complete the following table. […]
How much longer are the edges (the linear scale factor of the enlargement)?
How much bigger is the area (the area scale factor of the enlargement)?
Now look at the illustration of the 3-dimensional solids. One is […]
2. Find the areas in square units of the 3 pieces blue, green and brown.
1. For security John plans buy the minimum amount of Diamond Razor Mesh fencing material to fence around his dam and discourage entry. He sent his 15 year old son Mzu to measure the dam.
Mzu tells his Dad that this rectangular shape he has drawn of the dam and fence can help him.
Cut 4 congruent right angled triangles from some scrap paper. Arrange them as shown in diagram […]
Look at this square divided into four pieces : two identical triangles and two identical trapezia.
The edge of length 3 from each triangle matches with the edge of length 3 from a trapezium so that the four pieces from the square now occupy a rectangular space.
The square had side length 8 […]
Find the area of the kite.
Can you find this area by more than one method?
Click here to download the KITE IN A SQUARE worksheet